Find the hcf of the following number by simultaneous division method 5...
Simultaneous Division Method to Find HCF of 54 and 64
The simultaneous division method is a systematic approach to find the highest common factor (HCF) of two numbers. It involves dividing both numbers by the same divisor until the remainder becomes zero. The last divisor used to obtain a non-zero remainder is the HCF of the two numbers. Here's how to apply the simultaneous division method to find the HCF of 54 and 64:
Step 1: Divide the Larger Number by the Smaller Number
To start, we need to determine which of the two numbers, 54 and 64, is larger. In this case, 64 is the larger number. Therefore, we divide 64 by 54 to get:
64 ÷ 54 = 1 with a remainder of 10
Step 2: Divide the Previous Divisor by the Remainder
Next, we divide the previous divisor, which is 54, by the remainder, which is 10:
54 ÷ 10 = 5 with a remainder of 4
Step 3: Repeat the Process Until the Remainder is Zero
We continue the process of dividing the previous divisor by the remainder until we get a remainder of zero:
10 ÷ 4 = 2 with a remainder of 2
4 ÷ 2 = 2 with a remainder of 0
Step 4: The HCF is the Last Non-Zero Remainder
Since the last non-zero remainder is 2, the HCF of 54 and 64 is 2.
Final Answer
The HCF of 54 and 64 using simultaneous division method is 2.